Well, unless you want to actually point out scenes where he is being fatherly to...anyone, basically, you're just kinda making stuff up here. What your describing simply isn't part of his characterization anywhere in the show. I don't really consider this a matter of disagreeing opinions, because there is zero evidence for the case as your stating it. No, he wasn't trusting but still seemed caring, he simply didn't trust her and barely tolerated her presence because he didn't have good reason to throw her out on principle of being a streetrat. He never displayed any interest in her life or wellbeing.
And 'explain'? Seriously, don't ever become a parent if you're conception of explaining right and wrong is socking a kid in the face, because that is literally all he did. He didn't lecture her, he didn't try to get through to her. To do those things requires more than a smack on the face and then "That was for X, you little shit, now gtfo and don't come back".
Not only that, you seem under the delusion that he's punishing for committing an immoral act. He's punishing her for specifically killing his buddy and endangering his ward, rather than the general act of murder. Meaning, the way he framed this 'lesson' so to speak, he's not saying "Don't kill people", he's saying "Stay away from MY people. You can go ahead and do whatever to people I'm not associated with." Because that's the kind of attitude he has displayed for a long time now. He looks out for his own, and is apathetic to others. In his eyes, she can throw as many people out windows as she wants, as long as they're not associated with him.